InkLoop/NYS Standards/NY-G.CO.12NY-G.CO.12
GeometryCongruence60 target questions
Make formal geometric constructions with a variety of tools and methods (compass and straightedge string reflective devices paper folding dynamic geometric software etc.).
Sample Practice Questions (3)
1
To construct an angle congruent to a given , which of the following is the *most crucial* step to ensure congruence?
ADrawing an initial ray for the new angle.
BUsing the same compass opening to mark arcs on both the original angle's rays and the new angle's ray.
CPlacing the compass point at the vertex of the original angle.
DExtending the rays of the original angle to be longer.
Multiple choice · diagramSee Answer + Explanation →
2
When constructing the bisector of , the first step is to place the compass point on vertex and draw an arc. What is the primary purpose of this first arc?
ATo find the midpoint of the angle's rays.
BTo create two points equidistant from the vertex .
CTo determine the measure of the angle in degrees.
DTo ensure the angle is acute.
Multiple choice · diagramSee Answer + Explanation →
3
To find the circumcenter of , which construction must be performed on at least two sides of the triangle?
AAngle bisector
BMedian
CAltitude
DPerpendicular bisector
Multiple choice · diagramSee Answer + Explanation →
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NY-G.CO.1Know precise definitions of angle circle perpendicular line parallel line and line segment based on the undefined notions of point line distance along a line and distance around a circular arc.→NY-G.CO.2Represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.→NY-G.CO.3Given a rectangle parallelogram trapezoid or regular polygon describe the rotations and reflections that carry it onto itself.→NY-G.CO.4Develop definitions of rotations reflections and translations in terms of angles circles perpendicular lines parallel lines and line segments.→